Refinements of the majorization-type inequalities via Green and Fink identities and related results

In: Mathematica Slovaca, vol. 68, no. 4

Sadia Khalid - Josip Pečarić - Ana Vukelić

Details:

Year, pages: 2018, 773 - 788

Keywords:

logarithmic convexity, divided difference, $n$-convex function, majorization, Sherman's inequality, Green's function, Fink's identity, Čebyšev functional, Grüss-type inequality, Ostrowski

DOI: https://doi.org/10.1515/ms-2017-0144

About article:

In this work, the Green's function of order two is used together with Fink's approach in Ostrowski's inequality to represent the difference between the sides of the Sherman's inequality.

How to cite:

ISO 690:

Khalid, S., Pečarić, J., Vukelić, A. 2018. Refinements of the majorization-type inequalities via Green and Fink identities and related results. In Mathematica Slovaca, vol. 68, no.4, pp. 773-788. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0144

APA:

Khalid, S., Pečarić, J., Vukelić, A. (2018). Refinements of the majorization-type inequalities via Green and Fink identities and related results. Mathematica Slovaca, 68(4), 773-788. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0144

About edition:

Published: 10. 8. 2018